Question

What value of x would make lines l and m parallel?
Please provide an explanation if you can. Thanks

Answer 1

Answer:

A. $x=75^o$  

Step-by-step explanation:

We have been given an image of a triangle and we are asked to find the value of x that would make lines l and m parallel.

Since we know that corresponding angles formed by parallel lines are equal.  

We can see that angle x corresponds to angle that is between 55 degree and 50 degree angle, so to be line m parallel to l, the measure of x must be equal to that angle.

Since 55 degree, 50 degree and corresponding angle to x are supplementary angles, so we can set an equation as:

$55^o+50^o+x=180^o$

$105^o+x=180^o$  

$105^o-105^o+x=180^o-105^o$

$x=75^o$

Therefore, the value of $x=75^o$ will make lines l and m parallel and option A is the correct choice.

Answer 2

The value of x which would make line l and m parallel is; x = 75°

Alternate angles

From the diagram, we can observe that the angle between lines t and l is equal to 55.

This is by virtue of vertically opposite angles.

Therefore the remaining angle on line x is;

• 180 - 55 - 50 = 75°

On this note, the value of angle X is; 75° by virtue of alternate angles.

Read more on alternate angles;

https://brainly.com/question/20344743